Does macOS have something like Linux's binfmt_misc feature?

No, macOS does not come with a similar feature.

If you're interested in adding it yourself, you can could take a look at this project:

https://github.com/georghe-crihan/imgact_linux

It is a kernel extension that extends the kernel's exec_shell_imgact() function to recognize other file types (namely Linux ELF binaries) and pass them to a user space application to be executed. The source code is available, so it could potentially be tweaked and extended to provide functionality similar to binfmt_misc.